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Finding the Third Proportional to 173,297,282 and 380,608,516

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Solution

The third proportional to 173,297,282 and 380,608,516 is: 835,921,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,297,282 : 380,608,516 = 380,608,516 : x
  2. Step 2: Convert to fraction form
    173,297,282/380,608,516 = 380,608,516/x
  3. Step 3: Cross multiply
    173,297,282x = 380,608,516 × 380,608,516
  4. Step 4: Simplify right side
    173,297,282x = 144,862,842,451,722,240
  5. Step 5: Solve for x
    x = 144,862,842,451,722,240/173,297,282
  6. Step 6: Final answer
    x = 835,921,029.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.